Launois, S. and Richard, L. (2007) Twisted Poincare duality for some quadratic Poisson algebras. Letters in Mathematical Physics, 79 (2). pp. 161-174. ISSN 0377-9017.
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| Official URL http://dx.doi.org/10.1007/s11005-006-0133-z |
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Abstract
We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R=C[X1Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space. This Poisson module is obtained as the semiclassical limit of the dualising bimodule for Hochschild homology of the corresponding quantum affine space. As a corollary we compute the Poisson cohomology of R, and so retrieve a result obtained by direct methods (so completely different from ours) by Monnier.
| Item Type: | Article |
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| Uncontrolled keywords: | Poisson (co)homology - Hochschild (co)homology - Poincaré duality |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics |
| Depositing User: | Stephane Launois |
| Date Deposited: | 03 Jun 2008 14:28 |
| Last Modified: | 11 Jan 2012 12:31 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/3154 (The current URI for this page, for reference purposes) |
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